Explanation Given: The expression for the sequence is a n = − 0.3 n + 8... ( 1 ) Approach: Calculate the first ten terms of the sequence by substituting the values of n from 1 to 10 . And draw the plot between the values of a n and n using the following steps. Press the STAT button. Press 1 for EDIT . Input the values of n in L 1 column and the values of a n in L2 column. Press 2 nd and then press y = . Press 1 . Press ENTER button. Press WINDOW button and set the values of X min , X max , X scl , Y min , Y max and Y scl . Press GRAPH button. Press TRACE button. Calculation: Substitute 1 for n in Equation ( 1 ) . a 1 = − 0.3 ( 1 ) + 8 = − 0.3 + 8 = 7.7 Substitute 2 for n in Equation ( 1 ) . a 2 = − 0.3 ( 2 ) + 8 = − 0.6 + 8 = 7.4 Substitute 3 for n in Equation ( 1 ) . a 3 = − 0.3 ( 3 ) + 8 = − 0.9 + 8 = 7.1 Substitute 4 for n in Equation ( 1 ) . a 4 = − 0.3 ( 4 ) + 8 = − 1.2 + 8 = 6.8 Substitute 5 for n in Equation ( 1 ) . a 5 = − 0.3 ( 5 ) + 8 = − 1.5 + 8 = 6.5 Substitute 6 for n in Equation ( 1 ) . a 6 = − 0.3 ( 6 ) + 8 = − 1.8 + 8 = 6.2 Substitute 7 for n in Equation ( 1 ) . a 7 = − 0.3 ( 7 ) + 8 = − 2.1 + 8 = 5.9 Substitute 8 for n in Equation ( 1 ) . a 8 = − 0.3 ( 8 ) + 8 = − 2.4 + 8 = 5.6 Substitute 9 for n in Equation ( 1 )

10th Edition

ISBN: 9781337271073

Author: Ron Larson

Publisher: Cengage Learning

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Sequence and Series

A sequence is defined as a collection of things. Series is defined to sum the things one by one in the sequence. It was invented by German mathematician Carl Friedrich Gauss.

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Chapter 9.2, Problem 68E

To determine

To find:

The graph of the first 10 terms of the sequence an=−0.3n+8.

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Chapter 9.2, Problem 67E

Chapter 9.2, Problem 69E

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Precalculus (MindTap Course List)

Ch. 9.1 - Checkpoint Write the first four terms of the...Ch. 9.1 - Prob. 2CP Ch. 9.1 - Prob. 3CP Ch. 9.1 - Prob. 4CP Ch. 9.1 - Prob. 5CP Ch. 9.1 - Prob. 6CP Ch. 9.1 - Prob. 7CP Ch. 9.1 - Prob. 8CP Ch. 9.1 - Prob. 9CP Ch. 9.1 - Prob. 10CP

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